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Related papers: Anomalous transport in the Aubry-Andr\'e-Harper mo…

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We study quantum transport in a quasiperiodic Aubry-Andr\'e-Harper (AAH) model induced by the coupling of the system to a Markovian heat bath. We find that coupling the heat bath locally does not affect transport in the delocalized and…

Disordered Systems and Neural Networks · Physics 2023-07-14 Devendra Singh Bhakuni , Talía L. M. Lezama , Yevgeny Bar Lev

We investigate and map out the non-equilibrium phase diagram of a generalization of the well known Aubry-Andr\'e-Harper (AAH) model. This generalized AAH (GAAH) model is known to have a single-particle mobility edge which also has an…

Disordered Systems and Neural Networks · Physics 2017-12-06 Archak Purkayastha , Abhishek Dhar , Manas Kulkarni

The Aubry-Andr\'e-Harper (AAH) model provides a paradigmatic platform to study localization phenomena, where a transition from a conducting to an insulating phase occurs at a critical disorder strength equal to twice the nearest-neighbor…

Mesoscale and Nanoscale Physics · Physics 2025-05-13 Sanchita Nandi , Santanu K. Maiti

We study the interplay between quantum transport and topology in a one-dimensional off-diagonal commensurate Aubry-Andr\'e-Harper (AAH) chain. The model, formulated within AAH framework, effectively represents a one-dimensional lattice with…

Mesoscale and Nanoscale Physics · Physics 2026-02-06 Arpita Koley

Quasiperiodic systems host exotic transport regimes that are distinct from those found in periodic or disordered lattices. In this work, we study quantum transport in the Aubry-Andr\'e-Harper lattice in a two-terminal setup coupled to…

Mesoscale and Nanoscale Physics · Physics 2026-01-16 Jinyuan Shang , Haiping Hu

The population evolution of single excitation is studied in the Aubry- Andr\'{e}- Harper (AAH) model coupled to a $d (=1,2,3)$-dimensional simple lattices bath with a focus on the effect of localization in the system and the dimensionality…

Quantum Physics · Physics 2021-11-23 H. T. Cui , M. Qin , L. Tang , H. Z. Shen , X. X. Yi

The single particle eigenstates of the Aubry-Andr\'e-Harper model are known to show a delocalization-localization transition at a finite strength of the quasi-periodic disorder. In this work, we point out that an intimate relationship…

Strongly Correlated Electrons · Physics 2019-12-03 Nilanjan Roy , Auditya Sharma

Using a stochastic quantum approach, we study thermoelectric transport phenomena at low temperatures in disordered electrical systems connected to external baths. We discuss three different models of one-dimensional disordered electrons,…

Disordered Systems and Neural Networks · Physics 2015-05-14 Dibyendu Roy , Massimiliano Di Ventra

There are two standard ways of classifying transport behavior of systems. The first is via time scaling of spread of correlations in the isolated system in thermodynamic limit. The second is via system size scaling of conductance in the…

Statistical Mechanics · Physics 2019-07-22 Archak Purkayastha

Here we study the phase diagram of the Aubry-Andre-Harper model in the presence of strong interactions as the strength of the quasiperiodic potential is varied. Previous work has established the existence of many-body localized phase at…

Strongly Correlated Electrons · Physics 2023-03-10 Yongchan Yoo , Junhyun Lee , Brian Swingle

Quasi-periodic lattice systems offer diverse transport properties. In this work, we investigate the environment induced effects on transport properties for quasi-periodic systems, namely the one-dimensional Aubry-Andr\'e-Harper (AAH)…

Mesoscale and Nanoscale Physics · Physics 2022-06-29 Madhumita Saha , B. Prasanna Venkatesh , Bijay Kumar Agarwalla

In this paper, a comprehensive examination of the temperature- and bias-dependent diffusion regimes of underdamped Brownian particles is presented. A temperature threshold for a transition between anomalous and normal diffusive behaviors is…

Statistical Mechanics · Physics 2021-11-16 Trey Jiron , Marygrace Prinster , Jarrod Schiffbauer

The front dynamics in the Harper (or Aubry-Andr\'e) model (which has a localization transition) is investigated using two different settings, particle number front where the system is at zero temperature, and initially, the particle numbers…

Statistical Mechanics · Physics 2023-11-06 Gergo Roosz

We study anomalous transport in a one-dimensional system with two conserved quantities in presence of thermal baths. In this system we derive exact expressions of the temperature profile and the two point correlations in steady state as…

Statistical Mechanics · Physics 2018-10-10 Priyanka , Aritra Kundu , Abhishek Dhar , Anupam Kundu

We investigate a generalized Aubry-Andr\'e-Harper (AAH) model with p-wave superconducting pairing. Both the hopping amplitudes between the nearest neighboring lattice sites and the on-site potentials in this system are modulated by a cosine…

Strongly Correlated Electrons · Physics 2016-09-26 Qi-Bo Zeng , Shu Chen , Rong Lü

We investigate generalized Aubry-Andr\'{e} models featuring tunable quasidisordered potentials and a mobility edge that separates extended and localized states, with critical states for the mobility edge confirmed through finite-size…

Disordered Systems and Neural Networks · Physics 2025-08-12 Feng Lu , Ao Zhou , Shujie Cheng , Gao Xianlong

We investigate the quantum criticality and universality in Aubry-Andr\'{e}-Harper (AAH) model with $p$-wave superconducting pairing $\Delta$ in terms of the generalized fidelity susceptibility (GFS). We show that the higher-order GFS is…

Disordered Systems and Neural Networks · Physics 2022-01-19 Ting Lv , Tian-Cheng Yi , Liangsheng Li , Gaoyong Sun , Wen-Long You

In this study, we investigate the localization transition and quantum criticality {in the ground state of the} disordered Aubry-Andr\'{e}-Harper (AAH) model, where a quasiperiodic potential is hybridized with a disordered potential. In the…

Disordered Systems and Neural Networks · Physics 2025-08-07 Tian-Cheng Yi , Ying-Ying Fang , Wen Chen , Wen-Long You , Yunbo Zhang

Excitonic transport in static disordered one dimensional systems is studied in the presence of thermal fluctuations that are described by the Haken-Strobl-Reineker model. For short times, non-diffusive behavior is observed that can be…

Mesoscale and Nanoscale Physics · Physics 2015-05-05 Jeremy M. Moix , Michael Khasin , Jianshu Cao

We investigate quantum transport in an off-diagonal Aubry--Andr\'e--Harper chain. The periodic hopping modulation generates effective internal boundaries that strongly influence the transmission characteristics. We show that edge, in-band…

Mesoscale and Nanoscale Physics · Physics 2026-04-30 Moumita Patra
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